Stable Comparison of Multidimensional Persistent Homology Groups with Torsion

2012/06/22 by Patrizio Frosini · 3 citations
Computer Science · Mathematics · Medicine · #Abelian group #Algorithm #Alzheimer's disease research and treatments #Combinatorics #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematics #Persistent homology #Pure mathematics #Singular homology #Topological and Geometric Data Analysis #Topology (electrical circuits) #Torsion (gastropod)

paper · doi:10.1007/s10440-012-9769-0

published in Acta Applicandae Mathematicae 124(1), 43-54 (Springer Science and Business Media LLC)

openalex publication_date 2012/06/22 · crossref created 2012/06/22 · crossref issued 2012/06/23 · crossref published 2012/06/23 · crossref published-online 2012/06/23 · crossref published-print 2013/04/01 · crossref deposited 2025/04/02 · openalex created_date 2025/10/10 · crossref indexed 2026/02/01 · openalex updated_date 2026/07/29

Citations

• Computing Multidimensional Persistence
• Multidimensional Size Functions for Shape Comparison
• Natural Pseudo-Distance and Optimal Matching between Reduced Size Functions
• Stability of Persistence Diagrams
• Computing Multidimensional Persistence
• Finiteness of rank invariants of multidimensional persistent homology groups
• Topological Persistence and Simplification
• The Theory of Multidimensional Persistence

Cited by

• Topological data analysis [wikipedia]